Zhejiang University College of Computer Science

Fundamentals of Applied Geometric Modeling Dr. Zhang Hongxin and Prof. Feng Jieqing State Key Lab of CAD&CG, Zhejiang University

Description

Geometric modeling mainly focuses on representing and analyzing geometry shape in computer. This two months course is a fundamental lesson for the research fields of computer graphics, digital media and entertainment, scientific visualization, geography information system, and computer aided design etc. The topics included in this course are: affine space and fundamentals of differential geometry, parametric representations and methods (Bezier, B-spline and NURBS curves and surfaces), subdivision surfaces, implicit surfaces, discrete representations and its processing methods, and basic introduction to solid modeling.

The course is open to graduate students, Zhejiang University. Students entering the class should have a pre-existing knowledge of linear algebra, calculus, numerical analysis, and advanced programming language (e.g. C/C++).

Classroom: Room 504, Building 7, Yu Quan Campus, Zhejiang University.
Time: Monday/Thursday, 13:15-14:45

Schedule(2006.11.20-2007.01.15)

Topic	Date	Slides
Introduction	11.20	Introduction Vector Space and Affine Space Additional reference
Fundamentals of curves and surfaces	11.23	Representations and Differential Geometry Additional reference
Differential geometry of surfaces	11.27	Differential Geometry of Surfaces (I) Additional reference
Differential geometry of surfaces	11.30	Differential Geometry of Surfaces (II) Additional reference
Bézier Curves and Surfaces	12.04	Bézier Curves and Surfaces (I) Additional reference
Bézier Curves and Surfaces	12.07	Bézier Curves and Surfaces (II) Additional reference
B-spline Curves and Surfaces	12.11	B-spline Curves and Surfaces (I) Additional reference Additional reading
B-spline Curves and Surfaces	12.14	B-spline Curves and Surfaces (II) Additional reference
Non-Uniform Rational B-Spline	12.18	NURBS Additional reference
B-Spline Interpolation and Approximation	12.21	Curve interpolation and approximation Additional reference
Subdivision Curves and Surfaces	12.25	Subdivision curves Additional reference
Subdivision Curves and Surfaces	12.28	Subdivision surfaces Additional reference
Implicit Surface Modeling	01.04	Implicit Surface Modeling Additional reference
NO CLASS	01.08	Reading
Implicit Surfaces	01.11	Surface reconstruction based on Radial Basis Function Polygonization of Implicit Surfaces
Introduction of Solid Modeling	01.15	Introduction to Solid Modeling
Related Siggraph Courses	303MB	download

Useful Materials

• The NURBS Book.
• Programming tools: CGAL, OpenGL (GLUT/GLUI, NeHe Tutorials), FLTK/QT, TAUCS, SuperLU, OpenMesh, ...

Last modified Friday, January 12, 2007